105505550598 has 96 divisors (see below), whose sum is σ = 258161955840. Its totient is φ = 28621494720.

The previous prime is 105505550587. The next prime is 105505550617. The reversal of 105505550598 is 895055505501.

It is a super-2 number, since 2×105505550598² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 373833 + ... + 592251.

It is an arithmetic number, because the mean of its divisors is an integer number (2689187040).

Almost surely, 2^105505550598 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105505550598, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129080977920).

105505550598 is an abundant number, since it is smaller than the sum of its proper divisors (152656405242).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105505550598 is a wasteful number, since it uses less digits than its factorization.

105505550598 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218522 (or 218515 counting only the distinct ones).

The product of its (nonzero) digits is 1125000, while the sum is 48.

The spelling of 105505550598 in words is "one hundred five billion, five hundred five million, five hundred fifty thousand, five hundred ninety-eight".